There Exist Non-CM Hilbert Modular Forms of Partial Weight 1

There Exist Non-CM Hilbert Modular Forms of Partial Weight 1

In this note, we prove that there exists a classical Hilbert modular cusp form over Q(\sqrt{5}) of partial weight one which does not arise from the induction of a Grossencharacter from a CM extension of Q(\sqrt{5}).

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Bibliographische Detailangaben
Hauptverfasser: Moy, Richard A, Specter, Joel
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Number Theory
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Zusammenfassung:In this note, we prove that there exists a classical Hilbert modular cusp form over Q(\sqrt{5}) of partial weight one which does not arise from the induction of a Grossencharacter from a CM extension of Q(\sqrt{5}).
DOI:10.48550/arxiv.1407.3872